Prime factorization of $$$386$$$

Find the prime factorization of $$$386$$$.

Start with the number $$$2$$$.

Determine whether $$$386$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$386$$$ by $$${\color{green}2}$$$: $$$\frac{386}{2} = {\color{red}193}$$$.

The prime number $$${\color{green}193}$$$ has no other factors then $$$1$$$ and $$${\color{green}193}$$$: $$$\frac{193}{193} = {\color{red}1}$$$.

Since we have obtained $$$1$$$, we are done.

Now, just count the number of occurences of the divisors (green numbers), and write down the prime factorization: $$$386 = 2 \cdot 193$$$.

The prime factorization is $$$386 = 2 \cdot 193$$$A.